Least Common Multiple of 4077 and 4082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4077 and 4082 the smallest integer that is 16642314 that is divisible by both numbers.

Least Common Multiple (LCM) of 4077 and 4082 is 16642314.

LCM(4077,4082) = 16642314

LCM of 4077 and 4082

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4077 and 4082

LCM of 4077 and 4082 is 16642314

Least common multiple can be found by multiplying the highest exponent prime factors of 4077 and 4082. First we will calculate the prime factors of 4077 and 4082.

Prime Factorization of 4077


3 4077
3 1359
3 453
151 151
1

Prime factors of 4077 are 3,151. Prime factorization of 4077 in exponential form is:

4077 = 33×1511

Prime Factorization of 4082


2 4082
13 2041
157 157
1

Prime factors of 4082 are 2, 13,157. Prime factorization of 4082 in exponential form is:

4082 = 21×131×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 4077 and 4082.

LCM(4077,4082) = 21×33×131×1511×1571
LCM(4077,4082) = 16642314

Factors of 4077

List of positive integer factors of 4077 that divides 4077 without a remainder.

1, 3, 9, 27, 151, 453, 1359, 4077

Factors of 4082

List of positive integer factors of 4082 that divides 4082 without a remainder.

1, 2, 13, 26, 157, 314, 2041, 4082

Least Common Multiple of 4077 and 4082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4077 and 4082, than apply into the LCM equation.

GCF(4077,4082) = 1
LCM(4077,4082) = ( 4077 × 4082) / 1
LCM(4077,4082) = 16642314 / 1
LCM(4077,4082) = 16642314

Properties of LCM 4077 and 4082

(i) The LCM of 4082 and 4077 is associative

LCM of 4077 and 4082 = LCM of 4082 and 4077

Related Least Common Multiples of 4077

Related Least Common Multiples of 4082

Frequently Asked Questions on LCM of 4077 and 4082

1. What is the LCM of 4077 and 4082?

Answer: LCM of 4077 and 4082 is 16642314.

2. What are the Factors of 4077?

Answer: Factors of 4077 are 1, 3, 9, 27, 151, 453, 1359, 4077. There are 8 integers that are factors of 4077. The greatest factor of 4077 is 4077.

3. What are the Factors of 4082?

Answer: Factors of 4082 are 1, 2, 13, 26, 157, 314, 2041, 4082. There are 8 integers that are factors of 4082. The greatest factor of 4082 is 4082.

4. How to Find the LCM of 4077 and 4082?

Answer:

Least Common Multiple of 4077 and 4082 = 16642314

Step 1: Find the prime factorization of 4077

4077 = 3 x 3 x 3 x 151

Step 2: Find the prime factorization of 4082

4082 = 2 x 13 x 157

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 16642314 = 2 x 3 x 3 x 3 x 13 x 151 x 157

Step 4: Therefore, the least common multiple of 4077 and 4082 is 16642314.